Karhunen–Loéve expansion of Burgers’ model of turbulence

1988 ◽  
Vol 31 (9) ◽  
pp. 2573-2582 ◽  
Author(s):  
D. H. Chambers ◽  
R. J. Adrian ◽  
P. Moin ◽  
D. S. Stewart ◽  
H. J. Sung
Keyword(s):  
Burgers Model

Properties of turbulence driven by random external force in the Burgers model

2016 ◽  
Vol 186 (12) ◽  
pp. 1349-1353
Author(s):  
Kirill P. Zybin ◽  
Anton S. Il'yn
Keyword(s):  
External Force ◽  
Burgers Model

Burgers turbulence model for a channel flow

1971 ◽  
Vol 47 (2) ◽  
pp. 321-335 ◽  
Author(s):  
Jon Lee
Keyword(s):  
Channel Flow ◽  
Stokes Equations ◽  
Turbulent Channel Flow ◽  
Reynolds Numbers ◽  
Navier Stokes ◽  
Amplitude Equations ◽  
Fourier Amplitude ◽  
Navier Stokes Equations ◽  
Burgers Model ◽  
Model Dynamics

The truncated Burgers models have a unique equilibrium state which is defined continuously for all the Reynolds numbers and attainable from a realizable class of initial disturbances. Hence, they represent a sequence of convergent approximations to the original (untruncated) Burgers problem. We have pointed out that consideration of certain degenerate equilibrium states can lead to the successive turbulence-turbulence transitions and finite-jump transitions that were suggested by Case & Chiu. As a prototype of the Navier–Stokes equations, Burgers model can simulate the initial-value type of numerical integration of the Fourier amplitude equations for a turbulent channel flow. Thus, the Burgers model dynamics display certain idiosyncrasies of the actual channel flow problem described by a truncated set of Fourier amplitude equations, which includes only a modest number of modes due to the limited capability of the computer at hand.

Investigation on Static Shear Creep Behavior of Asphalt Mastic Containing Recycled Red Brick Powder

2011 ◽  
Vol 306-307 ◽  
pp. 1707-1711 ◽  
Author(s):  
Yi Han Sun ◽  
Shao Peng Wu ◽  
Ji Qing Zhu ◽  
Jin Jun Zhong
Keyword(s):  
Creep Behavior ◽  
Mass Ratio ◽  
Creep Tests ◽  
Shear Creep ◽  
Stiffness Modulus ◽  
Asphalt Mastic ◽  
Burgers Model ◽  
Brick Powder ◽  
Creep Stiffness ◽  
Static Shear

The static shear creep behavior of asphalt mastic containing recycled red brick powder (RBP) is investigated in this paper. The used mastic consists of asphalt and filler at a mass ratio of 1:1. Dynamic Shear Rheometer (DSR) performed the static shear creep tests at 0°C. The static shear creep behavior of RBP asphalt mastic was analyzed and modeled based on Burgers model. It is concluded that the introduction of RBP results in smaller deformation, higher static shear creep stiffness modulus of asphalt mastic at 0°C. It was also indicated that Burgers model can well explain the static shear creep behavior of RBP asphalt mastic.

Formation and regular dynamics of shock-trains in the Burgers model

1995 ◽  
Vol 86 (3) ◽  
pp. 480-499 ◽  
Author(s):  
M.A. Malkov ◽  
A.D. Kotelnikov ◽  
C.F. Kennel
Keyword(s):  
Burgers Model

scholarly journals Parameter Sensitivity and Inversion Analysis for a Concrete Face Rockfill Dam Based on CS-BPNN

2019 ◽  
Vol 2019 ◽  
pp. 1-17
Author(s):  
Yue Chen ◽  
Chongshi Gu ◽  
Chenfei Shao ◽  
Xiangnan Qin
Keyword(s):  
Deformation Behavior ◽  
Back Propagation ◽  
Back Analysis ◽  
Cuckoo Search ◽  
Normal Operation ◽  
Burgers Model ◽  
Rockfill Dam ◽  
Inversion Analysis ◽  
Concrete Face ◽  
Concrete Face Rockfill Dam

The deformation behavior of rockfill is significant to the normal operation of concrete face rockfill dam. Considering both the nonlinear mechanical behavior and long-term rheological deformation, the E-ν model and modified Burgers model are coupled to describe the deformation behavior of the rockfill materials. The coupled E-ν and Burgers model contains numerous parameters with complex relationship, and an efficient and accurate inversion analysis is in demand. The sensitivity of the parameters in the coupled E-ν and modified Burgers is analyzed using the modified Morris method initially. Then, a new approach of parameter back analysis is proposed by combining back-propagation neutral network (BPNN) and Cuckoo Search (CS) algorithm. The numerical example shows that parameters K, Rf, and φ0 as well as G are more sensitive to the deformation of the rockfill body. The inversion analysis for these four parameters and η2, E2, and A as well as B in modified Burgers model is performed by the CS-BPNN algorithm. The numerical results demonstrate that the parameters obtained with the proposed method are reasonable and its feasibility is validated.

scholarly journals Experimental Investigation and Constitutive Modeling of the Uncured Rubber Compound Based on the DMA Strain Scanning Method

Polymers ◽  
2020 ◽  
Vol 12 (11) ◽  
pp. 2700
Author(s):  
Yong Li ◽  
Xunhua Sun ◽  
Shoudong Zhang ◽  
Yanan Miao ◽  
Shanling Han
Keyword(s):  
Tensile Deformation ◽  
Constant Strain Rate ◽  
Large Data ◽  
Thermomechanical Analysis ◽  
Elastic Stiffness ◽  
Dynamic Force ◽  
Amplitude Curve ◽  
Rubber Compound ◽  
Scanning Method ◽  
Burgers Model

Existing research tends to focus on the performance of cured rubber. This is due to a lack of suitable testing methods for the mechanical properties of uncured rubber, in particular, tensile properties. Without crosslinking by sulfur, the tensile strength of uncured rubber compounds is too low to be accurately tested by general tensile testing machines. Firstly, a new tensile stress testing method for uncured rubber was established by using dynamic thermomechanical analysis (DMA) tensile strain scanning. The strain amplitude was increased under a set frequency and constant temperature. The corresponding dynamic force needed to maintain the amplitude was then measured to obtain the dynamic force-amplitude curve observed at this temperature and frequency. Secondly, the Burgers model is usually difficult to calculate and analyze in differential form, so it was reduced to its arithmetic form under creep conditions and material relaxation. Tensile deformation at a constant strain rate was proposed, so the Burgers model could be modified to a more concise form without any strain terms, making mathematical processing and simulating much more convenient. Thirdly, the rate of the modified Burgers model under constant strain was in good agreement with the test data, demonstrating that the elastic stiffness was 1–2 orders of magnitude less than the tensile viscosity. In the end, it was concluded that large data dispersion caused by the universal tensile test can be overcome by choosing this model, and it may become an effective way to study the tensile modeling of uncured rubber compound.

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